Effects of Multi-Surface Modification on Curie temperature of ferroelectric films

TL;DR

This study uses mean field theory and the transfer matrix method to analyze how multi-surface modifications affect the Curie temperature in ferroelectric films, considering various surface and bulk parameters.

Contribution

It derives general nonlinear equations for the Curie temperature of multi-surface ferroelectric films with arbitrary parameters, expanding understanding of surface effects.

Findings

Curie temperature depends on surface and bulk layer configurations.

Surface modifications significantly influence the Curie temperature.

Derived equations enable prediction of Curie temperature for various surface modifications.

Abstract

Within the framework of mean field theory, we study the effects of multi-surface modification on Curie temperature of ferroelectric films using the transverse Ising model. The general nonlinear equations for Curie temperature of multi-surface ferroelectric films with arbitrary exchange constants and transverse fields are derived by the transfer matrix method. As an example, we consider a film consisting of top surface layers, bulk layers and bottom surface layers. Two types of surface modifications, modifications of a surface exchange constant and a surface transverse field are taken into account. The dependence of Curie temperature on the surface layer numbers, bulk layer numbers, surface exchange constants, surface transverse fields and bulk transverse fields is discussed.